Let f(x) = x^3 − x on [−1, 1]. Find the true area of the shaded...

Let f(x) = x^3 − x on [−1, 1].

Find the true area of the shaded region using a limit of Riemann sums, taking the sample points to be the left endpoints. Hint: to ease the computations, you can use the fact that (a + b)^ 3 = a ^3 + 3a^2 b + 3ab^2 + b^3 (which follows by expanding the cube).

Verify your work by evaluating the corresponding definite integral using the FTC.

Expert Solution

Verification by definite integration :

ALL THE BEST...!!

milcah answered 2 years ago

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